Application of Optimal Control to the Epidemiology of Dengue Fever Transmission

• 作者: Abebe Alemu Ayalnesh Tigabie Biruk Ambachew Okey Oseloka Onyejekwe
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: EPIDEMIOLOGICAL Model SEIRS DENGUE FEVER Optimal Control Pontryagins Minimum Principle FOURTH-ORDER RUNGE-KUTTA
• 年，卷（期）: 2019,（1）
• 页码范围: 148-165
• 页数: 18页
• 分类号: O1

摘要

In this paper, we build an epidemiological model to investigate the dynamics of the spread of dengue fever in human population. We apply optimal control theory via the Pontryagins Minimum Principle together with the Runge-Kutta solution technique to a “simple” SEIRS disease model. Controls representing education and drug therapy treatment are incorporated to reduce the latently infected and actively infected individual populations. The overall thrust is the minimization of the spread of the disease in a population by adopting an optimization technique as a guideline.